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Proof step 8 from proof shiftright-byte-8-pos-01 (previous step)

0 ≤ j, 0 < j, 0 ≤ b2i(by), 8 ≤ j, 2 ^ j ≤ b2i(by) ⊦ b2i(by) / 2 ^ j = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
i ≥ 128 ⊦ ¬ (* i) ≤ b2i(by)
Proof step 10:
¬ 2 ^ j ≥ 128, 0 ≤ j, 0 < j, 0 ≤ b2i(by), 8 ≤ j, 2 ^ j ≤ b2i(by) ⊦ b2i(by) / 2 ^ j = 0

Rule argument

name: byte-nge rotate: F subst: [by, i] → [by, 2 ^ j]

Additional information

Used terms: by, 2 ^ j